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Scheme and Syllabus of Semesters III to VIII of B.E
(With effect from 2010-2011)

Information Science and Engineering

VISVESVARAYA TECHNOLOGICAL
UNIVERSITY, BELGAUM

1

ENGINEERING MATHEMATICS – III
CODE: 10 MAT 31
Hrs/Week: 04
Total Hrs: 52
Marks:100

IA Marks: 25
Exam Hrs: 03
Exam

PART-A
Unit-I: FOURIER SERIES
Convergence and divergence of infinite series of positive terms,
definition and illustrative examples*
Periodic functions, Dirichlet’s conditions, Fourier series of
periodic functions of period
and arbitrary period, half range
Fourier series. Complex form of Fourier Series. Practical
harmonic analysis.
[7 hours]
Unit-II: FOURIER TRANSFORMS
Infinite Fourier transform, Fourier Sine and Cosine transforms,
properties, Inverse transforms
[6 hours]
Unit-III: APPLICATIONS OF PDE
Various possible solutions of one dimensional wave and heat
equations, two dimensional Laplace’s equation by the method of
separation of variables, Solution of all these equations with
specified boundary conditions. D’Alembert’s solution of one
dimensional wave equation.
[6 hours]
Unit-IV: CURVE FITTING AND OPTIMIZATION

2

Curve fitting by the method of least squares- Fitting of curves of
bx
b
the form y = ax + b, y = a x 2 + b x + c, y = a e , y = ax
Optimization: Linear programming, mathematical formulation
of linear programming problem (LPP), Graphical method and
simplex method.
[7 hours]

PART-B
Unit-V: NUMERICAL METHODS - 1
Numerical Solution of algebraic and transcendental equations:
Regula-falsi method, Newton - Raphson method. Iterative
methods of solution of a system of equations: Gauss-seidel and
Relaxation methods. Largest eigen value and the corresponding
eigen vector by Rayleigh’s power method.
[6 hours]
Unit-VI: NUMERICAL METHODS – 2
Finite differences: Forward and backward differences, Newton’s
forward and backward interpolation formulae. Divided
differences - Newton’s divided difference formula, Lagrange’s
interpolation formula and inverse interpolation formula.
Numerical integration: Simpson’s one-third, three-eighth and
Weddle’s rules (All formulae/rules without proof)
[7 hours]
Unit-VII: NUMERICAL METHODS – 3
Numerical solutions of PDE – finite difference approximation to
derivatives, Numerical solution of two dimensional Laplace’s
3

equation, one dimensional heat and wave equations
[7 hours]
Unit-VIII:
DIFFERENCE
TRANSFORMS

EQUATIONS

AND

Z-

Difference equations: Basic definition; Z-transforms –
definition, standard Z-transforms, damping rule, shifting rule,
initial value and final value theorems. Inverse Z-transform.
Application of Z-transforms to solve difference equations.
[6 hours]
Note: * In the case of illustrative examples, questions are not
to be set.

Text Books:
1. B.S. Grewal, Higher Engineering Mathematics, Latest
edition, Khanna Publishers
2. Erwin Kreyszig, Advanced Engineering Mathematics,
Latest edition, Wiley Publications.
Reference Book:
1. B.V. Ramana, Higher Engineering Mathematics, Latest
edition, Tata Mc. Graw Hill Publications.
2. Peter V. O’Neil, Engineering Mathematics, CENGAGE
Learning India Pvt Ltd.Publishers

ELECTRONIC CIRCUITS
(Common to CSE &amp; ISE)
Subject Code: 10CS32
Hours/Week : 04

I.A. Marks : 25
Exam Hours: 03

4

Total Hours : 52

Exam Marks: 100

PART - A
UNIT - 1
7 Hours
Transistors, UJTs, and Thyristors: Operating Point, Common-Emitter
Configuration, Thermal Runaway, Transistor Switch, Unijunction
Transistors, SCR.
UNIT - 2
6 Hours
Field Effect Transistors: Bipolar Junction Transistors versus Field Effect
Transistors, Junction Field Effect Transistors, Metal Oxide Field Effect
Transistors, Differences between JFETs and MOSFETs,
Handling
MOSFETs,
Biasing MOSFETs, FET Applications, CMOS Devices,
Insulated Gate Bipolar Transistors (IGBTs)
UNIT - 3
6 Hours
Optoelectronic Devices: Introduction, Photosensors, Photoconductors,
Photodiodes, Phototransistors, Light-Emitting Diodes, Liquid Crystal
Displays, Cathode Ray Tube Displays, Emerging Display Technologies,
Optocouplers
UNIT - 4
7 Hours
Small Signal Analysis of Amplifiers: Amplifier Bandwidth: General
Frequency Considerations, Hybrid h-Parameter Model for an Amplifier,
Transistor Hybrid Model, Analysis of a Transistor Amplifier using complete
h-Parameter Model, Analysis of a Transistor Amplifier Configurations using
Simplified h-Parameter Model (CE configuration only), Small-Signal
Analysis of FET Amplifiers, Cascading Amplifiers, Darlington Amplifier,
Low-Frequency Response of Amplifiers (BJT amplifiers only).
PART - B
UNIT - 5
6 Hours
Large Signal Amplifiers, Feedback Amplifier: Classification and
characteristics of Large Signal Amplifiers, Feedback Amplifiers:
Classification of Amplifiers, Amplifier with Negative Feedback, Advantages
of Negative Feedback, Feedback Topologies, Voltage-Series (Series-Shunt)
Feedback, Voltage-Shunt (Shunt-Shunt) Feedback, Current-Series (SeriesSeries) Feedback, Current-Shunt (Shunt-Series) Feedback.
UNIT - 6
7 Hours
Sinusoidal Oscillators, Wave-Shaping Circuits: Classification of
Oscillators, Conditions for Oscillations: Barkhausen Criterion, Types of
Oscillators, Crystal Oscillator, Voltage-Controlled Oscillators, Frequency
Stability.

5

Wave-Shaping Circuits: Basic RC Low-Pass Circuit, RC Low-Pass Circuit as
Integrator, Basic RC High-Pass Circuit, RC High-Pass Circuit as
Differentiator, Multivibrators, Integrated Circuit (IC) Multivibrators.
UNIT - 7
7 Hours
Linear Power Supplies, Switched mode Power Supplies: Linear Power
Supplies: Constituents of a Linear Power Supply, Designing Mains
Transformer; Linear IC Voltage Regulators, Regulated Power Supply
Parameters.
Switched Mode Power Supplies: Switched Mode Power Supplies, Switching
Regulators, Connecting Power Converters in Series, Connecting Power
Converters in Parallel.
UNIT - 8
6 Hours
Operational Amplifiers: Ideal Opamp versus Practical Opamp, Performance
Parameters, Some Applications: Peak Detector Circuit, Absolute Value
Circuit, Comparator, Active Filters, Phase Shifters, Instrumentation
Amplifier, Non-Linear Amplifier, Relaxation Oscillator, Current-To-Voltage
Converter, Voltage-To-Current Converter, Sine Wave Oscillators.
Text Book:
1. Anil K Maini, Varsha Agarwal: Electronic Devices and Circuits,
Wiley, 2009.
(4.1, 4.2, 4.7, 4.8, 5.1 to 5.3, 5.5, 5.6, 5.8, 5.9, 5.13, 5.14, 6.1, 6.3, 7.1 to 7.5,
7.10 to 7.14, Listed topics only from 8, 10.1, 11, 12.1, 12.2, 12.3, 12.5, 13.1
to 13.6, 13.9, 13.10, 14.1, 14.2, 14.6, 14.7, 15.1, 15.5 to 15.7. 16.3, 16.4,
17.12 to 17.22)
Reference Books:
1. Jacob Millman, Christos Halkias, Chetan D Parikh: Millman’s
Integrated Electronics – Analog and Digital Circuits and Systems,
2nd Edition, Tata McGraw Hill, 2010.
2. R. D. Sudhaker Samuel: Electronic Circuits, Sanguine-Pearson,
2010.

LOGIC DESIGN
(Common to CSE &amp; ISE)
Subject Code: 10CS33
Hours/Week : 04
Total Hours : 52

I.A. Marks : 25
Exam Hours: 03
Exam Marks: 100
PART-A

6

UNIT – 1
7 Hours
Digital Principles, Digital Logic: Definitions for Digital Signals, Digital
Waveforms, Digital Logic, 7400 TTL Series, TTL Parameters The Basic
Gates: NOT, OR, AND, Universal Logic Gates: NOR, NAND, Positive and
Negative Logic, Introduction to HDL.
UNIT – 2
6 Hours
Combinational Logic Circuits
Sum-of-Products Method, Truth Table to Karnaugh Map, Pairs Quads, and
Octets, Karnaugh Simplifications, Don’t-care Conditions, Product-of-sums
Method, Product-of-sums simplifications, Simplification by Quine-McClusky
Method, Hazards and Hazard Covers, HDL Implementation Models.
UNIT – 3
6 Hours
Data-Processing Circuits: Multiplexers, Demultiplexers, 1-of-16 Decoder,
Encoders, Exclusive-or Gates, Parity Generators and Checkers, Magnitude
Comparator, Programmable Array Logic, Programmable Logic Arrays, HDL
Implementation of Data Processing Circuits
UNIT – 4
7 Hours
Clocks, Flip-Flops: Clock Waveforms, TTL Clock, Schmitt Trigger,
Clocked D FLIP-FLOP, Edge-triggered D FLIP-FLOP, Edge-triggered JK
FLIP-FLOP, FLIP-FLOP Timing, JK Master-slave FLIP-FLOP, Switch
Contact Bounce Circuits, Various Representation of FLIP-FLOPs, Analysis
of Sequential Circuits, HDL Implementation of FLIP-FLOP
PART-B
UNIT – 5
6 Hours
Registers: Types of Registers, Serial In - Serial Out, Serial In - Parallel out,
Parallel In - Serial Out, Parallel In - Parallel Out, Universal Shift Register,
Applications of Shift Registers, Register Implementation in HDL

UNIT – 6
7 Hours
Counters: Asynchronous Counters, Decoding Gates, Synchronous Counters,
Changing the Counter Modulus, Decade Counters, Presettable Counters,
Counter Design as a Synthesis problem, A Digital Clock, Counter Design
using HDL
UNIT – 7
7 Hours
Design of Synchronous and Asynchronous Sequential Circuits: Design of
Synchronous Sequential Circuit: Model Selection, State Transition Diagram,
State Synthesis Table, Design Equations and Circuit Diagram,

7

Implementation using Read Only Memory, Algorithmic State Machine, State
Reduction Technique.
Asynchronous Sequential Circuit: Analysis of Asynchronous Sequential
Circuit, Problems with Asynchronous Sequential Circuits, Design of
Asynchronous Sequential Circuit, FSM Implementation in HDL
UNIT – 8
6 Hours
D/A Conversion and A/D Conversion: Variable, Resistor Networks, Binary
Ladders, D/A Converters, D/A Accuracy and Resolution, A/D ConverterSimultaneous Conversion, A/D Converter-Counter Method, Continuous A/D
Conversion, A/D Techniques, Dual-slope A/D Conversion, A/D Accuracy
and Resolution
Text Book:
1. Donald P Leach, Albert Paul Malvino &amp; Goutam Saha: Digital
Principles and Applications, 7th Edition, Tata McGraw Hill, 2010.
Reference Books:
1. Stephen Brown, Zvonko Vranesic: Fundamentals of Digital Logic
Design with VHDL, 2nd Edition, Tata McGraw Hill, 2005.
2. R D Sudhaker Samuel: Illustrative Approach to Logic Design,
Sanguine-Pearson, 2010.
3. Charles H. Roth: Fundamentals of Logic Design, Jr., 5th Edition,
Cengage Learning, 2004.
4. Ronald J. Tocci, Neal S. Widmer, Gregory L. Moss: Digital Systems
Principles and Applications, 10th Edition, Pearson Education, 2007.
5. M Morris Mano: Digital Logic and Computer Design, 10th Edition,
Pearson Education, 2008.

8

DISCRETE MATHEMATICAL STRUCTURES
(Common to CSE &amp; ISE)
Subject Code: 10CS34
Hours/Week : 04
Total Hours : 52

I.A. Marks : 25
Exam Hours: 03
Exam Marks: 100

PART – A
UNIT – 1
6 Hours
Set Theory: Sets and Subsets, Set Operations and the Laws of Set Theory,
Counting and Venn Diagrams, A First Word on Probability, Countable and
Uncountable Sets
UNIT – 2
7 Hours
Fundamentals of Logic: Basic Connectives and Truth Tables, Logic
Equivalence – The Laws of Logic, Logical Implication – Rules of Inference
UNIT – 3
6 Hours
Fundamentals of Logic contd.: The Use of Quantifiers, Quantifiers,
Definitions and the Proofs of Theorems
UNIT – 4
7 Hours
Properties of the Integers: Mathematical Induction, The Well Ordering
Principle – Mathematical Induction, Recursive Definitions

PART – B
UNIT – 5
7 Hours
Relations and Functions: Cartesian Products and Relations, Functions –
Plain and One-to-One, Onto Functions – Stirling Numbers of the Second
Kind, Special Functions, The Pigeon-hole Principle, Function Composition
and Inverse Functions
UNIT – 6
7 Hours
Relations contd.: Properties of Relations, Computer Recognition – Zero-One
Matrices and Directed Graphs, Partial Orders – Hasse Diagrams, Equivalence
Relations and Partitions
UNIT – 7
6 Hours
Groups:
Definitions,
Examples,
and
Elementary
Properties,
Homomorphisms, Isomorphisms, and Cyclic Groups, Cosets, and Lagrange’s
Theorem.

9